数学上,微分拓扑的外微分算子,把一个函数的微分的概念推广到更高阶的微分形式的微分。它在流形上的积分理论中极为重要,并且是德拉姆和Alexander-Spanier上同调中所使用的微分算子。其现代形式是由嘉当发明的。
在短短不到6页纸的篇幅中,陈省身运用嘉当首创的 外微分 ( exterior differential )方法,对流形上的每一点P给出一组正交的单位切向量(unit tangent vector),成为标架(Frame),这些标架与流形本身一起组成了...
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外微分形式 exterior differential form ; alternating differential form ; [数] differential exterior form
外微分法 exterior differentiation
外微分量子效率 outside differential quantum efficiency ; external differential quantum efficiency
半不变外微分 semi invariant exterior derivative
叫外微分 Exterior differential calculus
外微分情势 alternating differential form
红外微分干涉相差 infrared differential interference contrast ; IR-DIC
共轭外微分算子 [数] conjugate exterior differential operator
应用红外微分干涉相差 infrared differential interference contrast ; IR-DIC
The theory of discrete exterior calculus appears in this environment.
在这个环境下,离散外微分理论应运而生。
参考来源 - 离散外微分中的向量恒等式It is transformed into a nonhomogeneous p-harmonic equationby using the technique of outer differential forms and exterior algebra of matrices. In the process, we only use the uniformly elliptic condition with respect to the characteristic matrices.
利用外微分形式和矩阵的外代数等工具,将其转化为一个非齐次的p-调和方程d~*A(x,df~I)=d~*B(x,Df)转化过程中只用到加于特征矩阵的一致椭圆型条件。
参考来源 - 偶数维三特征Beltrami方程组·2,447,543篇论文数据,部分数据来源于NoteExpress
研究了器件温度对于激光阈值电流、外微分量子效率和输出波长的影响。
The effects of device temperature on the laser threshold current, external differential quantum efficiency (DQE), and output wavelength are also investigated.
从热力学第二定理出发,利用外微分构造了熵、焓以及吉布斯函数的表达式。
Expressions of entropy, enthalpy and Gibbs function are formulated by exterior differential derived from second law of thermodynamics.
本文针对退化的情形进行研究,并使用外幂与外微分形式,使证明更加容易。
In this paper, we study the generate case by using exterior power and exterior differential forms, which will make the prove process easier.
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